Asymptotics of a Class of Singularly Perturbed Weak Nonlinear Boundary Value Problem with a Multiple Root of the Degenerate Equation
Year: 2022
Author: Qian Yang, Mingkang Ni
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 3 : pp. 502–513
Abstract
A singularly perturbed boundary value problem with weak nonlinearity in the case when the degenerate equation has a multiple root is studied. The asymptotic approximation of the solution is constructed by the modified boundary layer function method. Based on the comparison principle, there exist multizonal boundary layers in the neighborhood of the endpoints. The existence of a solution is proved by using the method of asymptotic differential inequalities.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2022.502
Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 3 : pp. 502–513
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Singularly perturbed problem Multiple root of the degenerate equation Asymptotic method Upper and lower solutions.